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Finding the Fourth Proportional to 10,852.44, 16,279.85 and 3,454.30

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Solution

The fourth proportional to 10,852.44, 16,279.85 and 3,454.30 is: 5,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.44 : 16,279.85 = 3,454.30 : x
  2. Step 2: Convert to fraction form
    10,852.44/16,279.85 = 3,454.30/x
  3. Step 3: Cross multiply
    10,852.44x = 16,279.85 × 3,454.30
  4. Step 4: Simplify right side
    10,852.44x = 56,235,485.86
  5. Step 5: Solve for x
    x = 56,235,485.86/10,852.44
  6. Step 6: Final answer
    x = 5,181.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.